Analysis of Geometrically Nonlinear Cable Structures

2009 ◽  
pp. 149-170
Author(s):  
A.S.K. Kwan
Keyword(s):  
Geometrically Nonlinear ◽  
Cable Structures

Free Undamped Vibration of Geometrically Non-Linear Cable Structures

1997 ◽  
Author(s):  
Alan S. K. Kwan
Keyword(s):  
Finite Elements ◽  
Mass Matrix ◽  
Three Dimensional ◽  
Geometrically Nonlinear ◽  
Theoretical Derivation ◽  
Cable Structures ◽  
Non Linear ◽  
Membrane Models ◽  
High Degree ◽  
Axial Element

The stiffness relationship and the distributed mass matrix for a geometrically nonlinear three dimensional straight axial element is derived for use in prestressed cablenet structures. The justification for the use of a linearised stiffness relationship is provided through a theoretical derivation. Results using this simple element have shown a high degree of correlation with results to those available in the literature obtained with more complex curved finite elements, analogous membrane models and other techniques.

Static Geometrically Nonlinear Aeroelastic Framework for Multi-Fidelity Analysis

2020 ◽  
Vol 68 (4) ◽  
pp. 142-147
Author(s):  
Natsuki Tsushima ◽  
Masato Tamayama ◽  
Tomohiro Yokozeki
Keyword(s):  
Geometrically Nonlinear

THE SUPPORT BONDS RIGIDITY INFLUENCES ON THE CARRYING CAPACITY REDUCTION OF THE SHALLOW SHELLS ON A RECTANGULAR PLAN

2020 ◽  
Vol 92 (6) ◽  
pp. 3-12
Author(s):  
A.G. KOLESNIKOV ◽  
Keyword(s):  
Variable Thickness ◽  
Carrying Capacity ◽  
Geometric Nonlinearity ◽  
Progressive Collapse ◽  
Geometrically Nonlinear ◽  
Loss Of Stability ◽  
Shallow Shells ◽  
Capacity Reduction ◽  
Internal Forces ◽  
Hinged Support

Geometric nonlinearity shallow shells on a square and rectangular plan with constant and variable thickness are considered. Loss of stability of a structure due to a decrease in the rigidity of one of the support (transition from fixed support to hinged support) is considered. The Bubnov-Galerkin method is used to solve differential equations of shallow geometrically nonlinear shells. The Vlasov's beam functions are used for approximating. The use of dimensionless quantities makes it possible to repeat the calculations and obtain similar dependences. The graphs are given that make it possible to assess the reduction in the critical load in the shell at each stage of reducing the rigidity of the support and to predict the further behavior of the structure. Regularities of changes in internal forces for various types of structure support are shown. Conclusions are made about the necessary design solutions to prevent the progressive collapse of the shell due to a decrease in the rigidity of one of the supports.

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